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Finding the Third Proportional to 306,073 and 661,326.50

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Solution

The third proportional to 306,073 and 661,326.50 is: 1,428,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,073 : 661,326.50 = 661,326.50 : x
  2. Step 2: Convert to fraction form
    306,073/661,326.50 = 661,326.50/x
  3. Step 3: Cross multiply
    306,073x = 661,326.50 × 661,326.50
  4. Step 4: Simplify right side
    306,073x = 437,352,739,602.25
  5. Step 5: Solve for x
    x = 437,352,739,602.25/306,073
  6. Step 6: Final answer
    x = 1,428,916.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.